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Simplifying -12z + -29 = 5(z + 6) + -195 Reorder the terms: -29 + -12z = 5(z + 6) + -195 Reorder the terms: -29 + -12z = 5(6 + z) + -195 -29 + -12z = (6 * 5 + z * 5) + -195 -29 + -12z = (30 + 5z) + -195 Reorder the terms: -29 + -12z = 30 + -195 + 5z Combine like terms: 30 + -195 = -165 -29 + -12z = -165 + 5z Solving -29 + -12z = -165 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -29 + -12z + -5z = -165 + 5z + -5z Combine like terms: -12z + -5z = -17z -29 + -17z = -165 + 5z + -5z Combine like terms: 5z + -5z = 0 -29 + -17z = -165 + 0 -29 + -17z = -165 Add '29' to each side of the equation. -29 + 29 + -17z = -165 + 29 Combine like terms: -29 + 29 = 0 0 + -17z = -165 + 29 -17z = -165 + 29 Combine like terms: -165 + 29 = -136 -17z = -136 Divide each side by '-17'. z = 8 Simplifying z = 8
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