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Simplifying -7 + -1(3z + 3) = -4(-1z + 3) + 6 Reorder the terms: -7 + -1(3 + 3z) = -4(-1z + 3) + 6 -7 + (3 * -1 + 3z * -1) = -4(-1z + 3) + 6 -7 + (-3 + -3z) = -4(-1z + 3) + 6 Combine like terms: -7 + -3 = -10 -10 + -3z = -4(-1z + 3) + 6 Reorder the terms: -10 + -3z = -4(3 + -1z) + 6 -10 + -3z = (3 * -4 + -1z * -4) + 6 -10 + -3z = (-12 + 4z) + 6 Reorder the terms: -10 + -3z = -12 + 6 + 4z Combine like terms: -12 + 6 = -6 -10 + -3z = -6 + 4z Solving -10 + -3z = -6 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -10 + -3z + -4z = -6 + 4z + -4z Combine like terms: -3z + -4z = -7z -10 + -7z = -6 + 4z + -4z Combine like terms: 4z + -4z = 0 -10 + -7z = -6 + 0 -10 + -7z = -6 Add '10' to each side of the equation. -10 + 10 + -7z = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -7z = -6 + 10 -7z = -6 + 10 Combine like terms: -6 + 10 = 4 -7z = 4 Divide each side by '-7'. z = -0.5714285714 Simplifying z = -0.5714285714
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