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Simplifying 7(-3z) + 3 = -6(z + -4) + -8 Remove parenthesis around (-3z) 7 * -3z + 3 = -6(z + -4) + -8 Multiply 7 * -3 -21z + 3 = -6(z + -4) + -8 Reorder the terms: 3 + -21z = -6(z + -4) + -8 Reorder the terms: 3 + -21z = -6(-4 + z) + -8 3 + -21z = (-4 * -6 + z * -6) + -8 3 + -21z = (24 + -6z) + -8 Reorder the terms: 3 + -21z = 24 + -8 + -6z Combine like terms: 24 + -8 = 16 3 + -21z = 16 + -6z Solving 3 + -21z = 16 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 3 + -21z + 6z = 16 + -6z + 6z Combine like terms: -21z + 6z = -15z 3 + -15z = 16 + -6z + 6z Combine like terms: -6z + 6z = 0 3 + -15z = 16 + 0 3 + -15z = 16 Add '-3' to each side of the equation. 3 + -3 + -15z = 16 + -3 Combine like terms: 3 + -3 = 0 0 + -15z = 16 + -3 -15z = 16 + -3 Combine like terms: 16 + -3 = 13 -15z = 13 Divide each side by '-15'. z = -0.8666666667 Simplifying z = -0.8666666667
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