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Simplifying 7(z + -7) + -1(8z + -1) = -2z Reorder the terms: 7(-7 + z) + -1(8z + -1) = -2z (-7 * 7 + z * 7) + -1(8z + -1) = -2z (-49 + 7z) + -1(8z + -1) = -2z Reorder the terms: -49 + 7z + -1(-1 + 8z) = -2z -49 + 7z + (-1 * -1 + 8z * -1) = -2z -49 + 7z + (1 + -8z) = -2z Reorder the terms: -49 + 1 + 7z + -8z = -2z Combine like terms: -49 + 1 = -48 -48 + 7z + -8z = -2z Combine like terms: 7z + -8z = -1z -48 + -1z = -2z Solving -48 + -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. -48 + -1z + 2z = -2z + 2z Combine like terms: -1z + 2z = 1z -48 + 1z = -2z + 2z Combine like terms: -2z + 2z = 0 -48 + 1z = 0 Add '48' to each side of the equation. -48 + 48 + 1z = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 1z = 0 + 48 1z = 0 + 48 Combine like terms: 0 + 48 = 48 1z = 48 Divide each side by '1'. z = 48 Simplifying z = 48
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