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Simplifying 6(2z + -3) = 2 + -7(3 + -1z) Reorder the terms: 6(-3 + 2z) = 2 + -7(3 + -1z) (-3 * 6 + 2z * 6) = 2 + -7(3 + -1z) (-18 + 12z) = 2 + -7(3 + -1z) -18 + 12z = 2 + (3 * -7 + -1z * -7) -18 + 12z = 2 + (-21 + 7z) Combine like terms: 2 + -21 = -19 -18 + 12z = -19 + 7z Solving -18 + 12z = -19 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -18 + 12z + -7z = -19 + 7z + -7z Combine like terms: 12z + -7z = 5z -18 + 5z = -19 + 7z + -7z Combine like terms: 7z + -7z = 0 -18 + 5z = -19 + 0 -18 + 5z = -19 Add '18' to each side of the equation. -18 + 18 + 5z = -19 + 18 Combine like terms: -18 + 18 = 0 0 + 5z = -19 + 18 5z = -19 + 18 Combine like terms: -19 + 18 = -1 5z = -1 Divide each side by '5'. z = -0.2 Simplifying z = -0.2
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