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Simplifying 6 + 7(-7z + 1) = 2(-5z + -4) + 6 Reorder the terms: 6 + 7(1 + -7z) = 2(-5z + -4) + 6 6 + (1 * 7 + -7z * 7) = 2(-5z + -4) + 6 6 + (7 + -49z) = 2(-5z + -4) + 6 Combine like terms: 6 + 7 = 13 13 + -49z = 2(-5z + -4) + 6 Reorder the terms: 13 + -49z = 2(-4 + -5z) + 6 13 + -49z = (-4 * 2 + -5z * 2) + 6 13 + -49z = (-8 + -10z) + 6 Reorder the terms: 13 + -49z = -8 + 6 + -10z Combine like terms: -8 + 6 = -2 13 + -49z = -2 + -10z Solving 13 + -49z = -2 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. 13 + -49z + 10z = -2 + -10z + 10z Combine like terms: -49z + 10z = -39z 13 + -39z = -2 + -10z + 10z Combine like terms: -10z + 10z = 0 13 + -39z = -2 + 0 13 + -39z = -2 Add '-13' to each side of the equation. 13 + -13 + -39z = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -39z = -2 + -13 -39z = -2 + -13 Combine like terms: -2 + -13 = -15 -39z = -15 Divide each side by '-39'. z = 0.3846153846 Simplifying z = 0.3846153846
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