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Simplifying -4z + -10 = -6(-2z + 19) + -8 Reorder the terms: -10 + -4z = -6(-2z + 19) + -8 Reorder the terms: -10 + -4z = -6(19 + -2z) + -8 -10 + -4z = (19 * -6 + -2z * -6) + -8 -10 + -4z = (-114 + 12z) + -8 Reorder the terms: -10 + -4z = -114 + -8 + 12z Combine like terms: -114 + -8 = -122 -10 + -4z = -122 + 12z Solving -10 + -4z = -122 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -10 + -4z + -12z = -122 + 12z + -12z Combine like terms: -4z + -12z = -16z -10 + -16z = -122 + 12z + -12z Combine like terms: 12z + -12z = 0 -10 + -16z = -122 + 0 -10 + -16z = -122 Add '10' to each side of the equation. -10 + 10 + -16z = -122 + 10 Combine like terms: -10 + 10 = 0 0 + -16z = -122 + 10 -16z = -122 + 10 Combine like terms: -122 + 10 = -112 -16z = -112 Divide each side by '-16'. z = 7 Simplifying z = 7
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