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Simplifying -3(5z + 24 + 2) = 2(-2z + 3) + -4 Reorder the terms: -3(24 + 2 + 5z) = 2(-2z + 3) + -4 Combine like terms: 24 + 2 = 26 -3(26 + 5z) = 2(-2z + 3) + -4 (26 * -3 + 5z * -3) = 2(-2z + 3) + -4 (-78 + -15z) = 2(-2z + 3) + -4 Reorder the terms: -78 + -15z = 2(3 + -2z) + -4 -78 + -15z = (3 * 2 + -2z * 2) + -4 -78 + -15z = (6 + -4z) + -4 Reorder the terms: -78 + -15z = 6 + -4 + -4z Combine like terms: 6 + -4 = 2 -78 + -15z = 2 + -4z Solving -78 + -15z = 2 + -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. -78 + -15z + 4z = 2 + -4z + 4z Combine like terms: -15z + 4z = -11z -78 + -11z = 2 + -4z + 4z Combine like terms: -4z + 4z = 0 -78 + -11z = 2 + 0 -78 + -11z = 2 Add '78' to each side of the equation. -78 + 78 + -11z = 2 + 78 Combine like terms: -78 + 78 = 0 0 + -11z = 2 + 78 -11z = 2 + 78 Combine like terms: 2 + 78 = 80 -11z = 80 Divide each side by '-11'. z = -7.272727273 Simplifying z = -7.272727273
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