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Simplifying 3(z + -7) + -1(8 + 2z) = 6 Reorder the terms: 3(-7 + z) + -1(8 + 2z) = 6 (-7 * 3 + z * 3) + -1(8 + 2z) = 6 (-21 + 3z) + -1(8 + 2z) = 6 -21 + 3z + (8 * -1 + 2z * -1) = 6 -21 + 3z + (-8 + -2z) = 6 Reorder the terms: -21 + -8 + 3z + -2z = 6 Combine like terms: -21 + -8 = -29 -29 + 3z + -2z = 6 Combine like terms: 3z + -2z = 1z -29 + 1z = 6 Solving -29 + 1z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 1z = 6 + 29 Combine like terms: -29 + 29 = 0 0 + 1z = 6 + 29 1z = 6 + 29 Combine like terms: 6 + 29 = 35 1z = 35 Divide each side by '1'. z = 35 Simplifying z = 35
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