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Simplifying -15(14z + -16) + 14(4z + -14) = -5 + -15(6z + -15) Reorder the terms: -15(-16 + 14z) + 14(4z + -14) = -5 + -15(6z + -15) (-16 * -15 + 14z * -15) + 14(4z + -14) = -5 + -15(6z + -15) (240 + -210z) + 14(4z + -14) = -5 + -15(6z + -15) Reorder the terms: 240 + -210z + 14(-14 + 4z) = -5 + -15(6z + -15) 240 + -210z + (-14 * 14 + 4z * 14) = -5 + -15(6z + -15) 240 + -210z + (-196 + 56z) = -5 + -15(6z + -15) Reorder the terms: 240 + -196 + -210z + 56z = -5 + -15(6z + -15) Combine like terms: 240 + -196 = 44 44 + -210z + 56z = -5 + -15(6z + -15) Combine like terms: -210z + 56z = -154z 44 + -154z = -5 + -15(6z + -15) Reorder the terms: 44 + -154z = -5 + -15(-15 + 6z) 44 + -154z = -5 + (-15 * -15 + 6z * -15) 44 + -154z = -5 + (225 + -90z) Combine like terms: -5 + 225 = 220 44 + -154z = 220 + -90z Solving 44 + -154z = 220 + -90z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '90z' to each side of the equation. 44 + -154z + 90z = 220 + -90z + 90z Combine like terms: -154z + 90z = -64z 44 + -64z = 220 + -90z + 90z Combine like terms: -90z + 90z = 0 44 + -64z = 220 + 0 44 + -64z = 220 Add '-44' to each side of the equation. 44 + -44 + -64z = 220 + -44 Combine like terms: 44 + -44 = 0 0 + -64z = 220 + -44 -64z = 220 + -44 Combine like terms: 220 + -44 = 176 -64z = 176 Divide each side by '-64'. z = -2.75 Simplifying z = -2.75
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