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Simplifying 3(z + 5) + -10 = 4(z + -4) + 9 Reorder the terms: 3(5 + z) + -10 = 4(z + -4) + 9 (5 * 3 + z * 3) + -10 = 4(z + -4) + 9 (15 + 3z) + -10 = 4(z + -4) + 9 Reorder the terms: 15 + -10 + 3z = 4(z + -4) + 9 Combine like terms: 15 + -10 = 5 5 + 3z = 4(z + -4) + 9 Reorder the terms: 5 + 3z = 4(-4 + z) + 9 5 + 3z = (-4 * 4 + z * 4) + 9 5 + 3z = (-16 + 4z) + 9 Reorder the terms: 5 + 3z = -16 + 9 + 4z Combine like terms: -16 + 9 = -7 5 + 3z = -7 + 4z Solving 5 + 3z = -7 + 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. 5 + 3z + -4z = -7 + 4z + -4z Combine like terms: 3z + -4z = -1z 5 + -1z = -7 + 4z + -4z Combine like terms: 4z + -4z = 0 5 + -1z = -7 + 0 5 + -1z = -7 Add '-5' to each side of the equation. 5 + -5 + -1z = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = -7 + -5 -1z = -7 + -5 Combine like terms: -7 + -5 = -12 -1z = -12 Divide each side by '-1'. z = 12 Simplifying z = 12
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