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Simplifying -4(z + 3) + 6 = 4z + 10 Reorder the terms: -4(3 + z) + 6 = 4z + 10 (3 * -4 + z * -4) + 6 = 4z + 10 (-12 + -4z) + 6 = 4z + 10 Reorder the terms: -12 + 6 + -4z = 4z + 10 Combine like terms: -12 + 6 = -6 -6 + -4z = 4z + 10 Reorder the terms: -6 + -4z = 10 + 4z Solving -6 + -4z = 10 + 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. -6 + -4z + -4z = 10 + 4z + -4z Combine like terms: -4z + -4z = -8z -6 + -8z = 10 + 4z + -4z Combine like terms: 4z + -4z = 0 -6 + -8z = 10 + 0 -6 + -8z = 10 Add '6' to each side of the equation. -6 + 6 + -8z = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -8z = 10 + 6 -8z = 10 + 6 Combine like terms: 10 + 6 = 16 -8z = 16 Divide each side by '-8'. z = -2 Simplifying z = -2
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