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Simplifying -4(z + 3) + 6 = 5z + 3 Reorder the terms: -4(3 + z) + 6 = 5z + 3 (3 * -4 + z * -4) + 6 = 5z + 3 (-12 + -4z) + 6 = 5z + 3 Reorder the terms: -12 + 6 + -4z = 5z + 3 Combine like terms: -12 + 6 = -6 -6 + -4z = 5z + 3 Reorder the terms: -6 + -4z = 3 + 5z Solving -6 + -4z = 3 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -6 + -4z + -5z = 3 + 5z + -5z Combine like terms: -4z + -5z = -9z -6 + -9z = 3 + 5z + -5z Combine like terms: 5z + -5z = 0 -6 + -9z = 3 + 0 -6 + -9z = 3 Add '6' to each side of the equation. -6 + 6 + -9z = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -9z = 3 + 6 -9z = 3 + 6 Combine like terms: 3 + 6 = 9 -9z = 9 Divide each side by '-9'. z = -1 Simplifying z = -1
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