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Simplifying 2(3 + -2z) + -6(2z + 4) = z + -30 (3 * 2 + -2z * 2) + -6(2z + 4) = z + -30 (6 + -4z) + -6(2z + 4) = z + -30 Reorder the terms: 6 + -4z + -6(4 + 2z) = z + -30 6 + -4z + (4 * -6 + 2z * -6) = z + -30 6 + -4z + (-24 + -12z) = z + -30 Reorder the terms: 6 + -24 + -4z + -12z = z + -30 Combine like terms: 6 + -24 = -18 -18 + -4z + -12z = z + -30 Combine like terms: -4z + -12z = -16z -18 + -16z = z + -30 Reorder the terms: -18 + -16z = -30 + z Solving -18 + -16z = -30 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -18 + -16z + -1z = -30 + z + -1z Combine like terms: -16z + -1z = -17z -18 + -17z = -30 + z + -1z Combine like terms: z + -1z = 0 -18 + -17z = -30 + 0 -18 + -17z = -30 Add '18' to each side of the equation. -18 + 18 + -17z = -30 + 18 Combine like terms: -18 + 18 = 0 0 + -17z = -30 + 18 -17z = -30 + 18 Combine like terms: -30 + 18 = -12 -17z = -12 Divide each side by '-17'. z = 0.7058823529 Simplifying z = 0.7058823529
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