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Simplifying 2(6 + -2z) + -2(6z + 8) = z + -19 (6 * 2 + -2z * 2) + -2(6z + 8) = z + -19 (12 + -4z) + -2(6z + 8) = z + -19 Reorder the terms: 12 + -4z + -2(8 + 6z) = z + -19 12 + -4z + (8 * -2 + 6z * -2) = z + -19 12 + -4z + (-16 + -12z) = z + -19 Reorder the terms: 12 + -16 + -4z + -12z = z + -19 Combine like terms: 12 + -16 = -4 -4 + -4z + -12z = z + -19 Combine like terms: -4z + -12z = -16z -4 + -16z = z + -19 Reorder the terms: -4 + -16z = -19 + z Solving -4 + -16z = -19 + 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. -4 + -16z + -1z = -19 + z + -1z Combine like terms: -16z + -1z = -17z -4 + -17z = -19 + z + -1z Combine like terms: z + -1z = 0 -4 + -17z = -19 + 0 -4 + -17z = -19 Add '4' to each side of the equation. -4 + 4 + -17z = -19 + 4 Combine like terms: -4 + 4 = 0 0 + -17z = -19 + 4 -17z = -19 + 4 Combine like terms: -19 + 4 = -15 -17z = -15 Divide each side by '-17'. z = 0.8823529412 Simplifying z = 0.8823529412
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