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Simplifying 7(2 + -1z) + 8(z + -3) = 2z (2 * 7 + -1z * 7) + 8(z + -3) = 2z (14 + -7z) + 8(z + -3) = 2z Reorder the terms: 14 + -7z + 8(-3 + z) = 2z 14 + -7z + (-3 * 8 + z * 8) = 2z 14 + -7z + (-24 + 8z) = 2z Reorder the terms: 14 + -24 + -7z + 8z = 2z Combine like terms: 14 + -24 = -10 -10 + -7z + 8z = 2z Combine like terms: -7z + 8z = 1z -10 + 1z = 2z Solving -10 + 1z = 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -10 + 1z + -2z = 2z + -2z Combine like terms: 1z + -2z = -1z -10 + -1z = 2z + -2z Combine like terms: 2z + -2z = 0 -10 + -1z = 0 Add '10' to each side of the equation. -10 + 10 + -1z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1z = 0 + 10 -1z = 0 + 10 Combine like terms: 0 + 10 = 10 -1z = 10 Divide each side by '-1'. z = -10 Simplifying z = -10
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