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Simplifying 3(z + -2) + -5 = 4(z + -7) Reorder the terms: 3(-2 + z) + -5 = 4(z + -7) (-2 * 3 + z * 3) + -5 = 4(z + -7) (-6 + 3z) + -5 = 4(z + -7) Reorder the terms: -6 + -5 + 3z = 4(z + -7) Combine like terms: -6 + -5 = -11 -11 + 3z = 4(z + -7) Reorder the terms: -11 + 3z = 4(-7 + z) -11 + 3z = (-7 * 4 + z * 4) -11 + 3z = (-28 + 4z) Solving -11 + 3z = -28 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -11 + 3z + -4z = -28 + 4z + -4z Combine like terms: 3z + -4z = -1z -11 + -1z = -28 + 4z + -4z Combine like terms: 4z + -4z = 0 -11 + -1z = -28 + 0 -11 + -1z = -28 Add '11' to each side of the equation. -11 + 11 + -1z = -28 + 11 Combine like terms: -11 + 11 = 0 0 + -1z = -28 + 11 -1z = -28 + 11 Combine like terms: -28 + 11 = -17 -1z = -17 Divide each side by '-1'. z = 17 Simplifying z = 17
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