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Simplifying -4 + -5(-7z + 7) = -7(2z + 3) + -6 Reorder the terms: -4 + -5(7 + -7z) = -7(2z + 3) + -6 -4 + (7 * -5 + -7z * -5) = -7(2z + 3) + -6 -4 + (-35 + 35z) = -7(2z + 3) + -6 Combine like terms: -4 + -35 = -39 -39 + 35z = -7(2z + 3) + -6 Reorder the terms: -39 + 35z = -7(3 + 2z) + -6 -39 + 35z = (3 * -7 + 2z * -7) + -6 -39 + 35z = (-21 + -14z) + -6 Reorder the terms: -39 + 35z = -21 + -6 + -14z Combine like terms: -21 + -6 = -27 -39 + 35z = -27 + -14z Solving -39 + 35z = -27 + -14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14z' to each side of the equation. -39 + 35z + 14z = -27 + -14z + 14z Combine like terms: 35z + 14z = 49z -39 + 49z = -27 + -14z + 14z Combine like terms: -14z + 14z = 0 -39 + 49z = -27 + 0 -39 + 49z = -27 Add '39' to each side of the equation. -39 + 39 + 49z = -27 + 39 Combine like terms: -39 + 39 = 0 0 + 49z = -27 + 39 49z = -27 + 39 Combine like terms: -27 + 39 = 12 49z = 12 Divide each side by '49'. z = 0.2448979592 Simplifying z = 0.2448979592
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