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Simplifying -3z + -14 + -11z = -7(-5z + -19) Reorder the terms: -14 + -3z + -11z = -7(-5z + -19) Combine like terms: -3z + -11z = -14z -14 + -14z = -7(-5z + -19) Reorder the terms: -14 + -14z = -7(-19 + -5z) -14 + -14z = (-19 * -7 + -5z * -7) -14 + -14z = (133 + 35z) Solving -14 + -14z = 133 + 35z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-35z' to each side of the equation. -14 + -14z + -35z = 133 + 35z + -35z Combine like terms: -14z + -35z = -49z -14 + -49z = 133 + 35z + -35z Combine like terms: 35z + -35z = 0 -14 + -49z = 133 + 0 -14 + -49z = 133 Add '14' to each side of the equation. -14 + 14 + -49z = 133 + 14 Combine like terms: -14 + 14 = 0 0 + -49z = 133 + 14 -49z = 133 + 14 Combine like terms: 133 + 14 = 147 -49z = 147 Divide each side by '-49'. z = -3 Simplifying z = -3
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