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Simplifying -7 + -7(3z + 2) = 4(-4z + -6) + -5 Reorder the terms: -7 + -7(2 + 3z) = 4(-4z + -6) + -5 -7 + (2 * -7 + 3z * -7) = 4(-4z + -6) + -5 -7 + (-14 + -21z) = 4(-4z + -6) + -5 Combine like terms: -7 + -14 = -21 -21 + -21z = 4(-4z + -6) + -5 Reorder the terms: -21 + -21z = 4(-6 + -4z) + -5 -21 + -21z = (-6 * 4 + -4z * 4) + -5 -21 + -21z = (-24 + -16z) + -5 Reorder the terms: -21 + -21z = -24 + -5 + -16z Combine like terms: -24 + -5 = -29 -21 + -21z = -29 + -16z Solving -21 + -21z = -29 + -16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16z' to each side of the equation. -21 + -21z + 16z = -29 + -16z + 16z Combine like terms: -21z + 16z = -5z -21 + -5z = -29 + -16z + 16z Combine like terms: -16z + 16z = 0 -21 + -5z = -29 + 0 -21 + -5z = -29 Add '21' to each side of the equation. -21 + 21 + -5z = -29 + 21 Combine like terms: -21 + 21 = 0 0 + -5z = -29 + 21 -5z = -29 + 21 Combine like terms: -29 + 21 = -8 -5z = -8 Divide each side by '-5'. z = 1.6 Simplifying z = 1.6
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