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