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Simplifying 5z + -3 = 6(2z + -2) Reorder the terms: -3 + 5z = 6(2z + -2) Reorder the terms: -3 + 5z = 6(-2 + 2z) -3 + 5z = (-2 * 6 + 2z * 6) -3 + 5z = (-12 + 12z) Solving -3 + 5z = -12 + 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. -3 + 5z + -12z = -12 + 12z + -12z Combine like terms: 5z + -12z = -7z -3 + -7z = -12 + 12z + -12z Combine like terms: 12z + -12z = 0 -3 + -7z = -12 + 0 -3 + -7z = -12 Add '3' to each side of the equation. -3 + 3 + -7z = -12 + 3 Combine like terms: -3 + 3 = 0 0 + -7z = -12 + 3 -7z = -12 + 3 Combine like terms: -12 + 3 = -9 -7z = -9 Divide each side by '-7'. z = 1.285714286 Simplifying z = 1.285714286
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