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Simplifying 4 + 2(-8z + -7) = (2z + -9) + 2 Reorder the terms: 4 + 2(-7 + -8z) = (2z + -9) + 2 4 + (-7 * 2 + -8z * 2) = (2z + -9) + 2 4 + (-14 + -16z) = (2z + -9) + 2 Combine like terms: 4 + -14 = -10 -10 + -16z = (2z + -9) + 2 Reorder the terms: -10 + -16z = (-9 + 2z) + 2 Remove parenthesis around (-9 + 2z) -10 + -16z = -9 + 2z + 2 Reorder the terms: -10 + -16z = -9 + 2 + 2z Combine like terms: -9 + 2 = -7 -10 + -16z = -7 + 2z Solving -10 + -16z = -7 + 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 + -16z + -2z = -7 + 2z + -2z Combine like terms: -16z + -2z = -18z -10 + -18z = -7 + 2z + -2z Combine like terms: 2z + -2z = 0 -10 + -18z = -7 + 0 -10 + -18z = -7 Add '10' to each side of the equation. -10 + 10 + -18z = -7 + 10 Combine like terms: -10 + 10 = 0 0 + -18z = -7 + 10 -18z = -7 + 10 Combine like terms: -7 + 10 = 3 -18z = 3 Divide each side by '-18'. z = -0.1666666667 Simplifying z = -0.1666666667
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