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Simplifying 2(2z + -5) + -1z = 7(z + 3) Reorder the terms: 2(-5 + 2z) + -1z = 7(z + 3) (-5 * 2 + 2z * 2) + -1z = 7(z + 3) (-10 + 4z) + -1z = 7(z + 3) Combine like terms: 4z + -1z = 3z -10 + 3z = 7(z + 3) Reorder the terms: -10 + 3z = 7(3 + z) -10 + 3z = (3 * 7 + z * 7) -10 + 3z = (21 + 7z) Solving -10 + 3z = 21 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -10 + 3z + -7z = 21 + 7z + -7z Combine like terms: 3z + -7z = -4z -10 + -4z = 21 + 7z + -7z Combine like terms: 7z + -7z = 0 -10 + -4z = 21 + 0 -10 + -4z = 21 Add '10' to each side of the equation. -10 + 10 + -4z = 21 + 10 Combine like terms: -10 + 10 = 0 0 + -4z = 21 + 10 -4z = 21 + 10 Combine like terms: 21 + 10 = 31 -4z = 31 Divide each side by '-4'. z = -7.75 Simplifying z = -7.75
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