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Simplifying 3 + 4(2z + -5) = -6(2z + 2) + 3 Reorder the terms: 3 + 4(-5 + 2z) = -6(2z + 2) + 3 3 + (-5 * 4 + 2z * 4) = -6(2z + 2) + 3 3 + (-20 + 8z) = -6(2z + 2) + 3 Combine like terms: 3 + -20 = -17 -17 + 8z = -6(2z + 2) + 3 Reorder the terms: -17 + 8z = -6(2 + 2z) + 3 -17 + 8z = (2 * -6 + 2z * -6) + 3 -17 + 8z = (-12 + -12z) + 3 Reorder the terms: -17 + 8z = -12 + 3 + -12z Combine like terms: -12 + 3 = -9 -17 + 8z = -9 + -12z Solving -17 + 8z = -9 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. -17 + 8z + 12z = -9 + -12z + 12z Combine like terms: 8z + 12z = 20z -17 + 20z = -9 + -12z + 12z Combine like terms: -12z + 12z = 0 -17 + 20z = -9 + 0 -17 + 20z = -9 Add '17' to each side of the equation. -17 + 17 + 20z = -9 + 17 Combine like terms: -17 + 17 = 0 0 + 20z = -9 + 17 20z = -9 + 17 Combine like terms: -9 + 17 = 8 20z = 8 Divide each side by '20'. z = 0.4 Simplifying z = 0.4
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