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Simplifying 2(4 + -2z) + -2(4z + 7) = z + -7 (4 * 2 + -2z * 2) + -2(4z + 7) = z + -7 (8 + -4z) + -2(4z + 7) = z + -7 Reorder the terms: 8 + -4z + -2(7 + 4z) = z + -7 8 + -4z + (7 * -2 + 4z * -2) = z + -7 8 + -4z + (-14 + -8z) = z + -7 Reorder the terms: 8 + -14 + -4z + -8z = z + -7 Combine like terms: 8 + -14 = -6 -6 + -4z + -8z = z + -7 Combine like terms: -4z + -8z = -12z -6 + -12z = z + -7 Reorder the terms: -6 + -12z = -7 + z Solving -6 + -12z = -7 + 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. -6 + -12z + -1z = -7 + z + -1z Combine like terms: -12z + -1z = -13z -6 + -13z = -7 + z + -1z Combine like terms: z + -1z = 0 -6 + -13z = -7 + 0 -6 + -13z = -7 Add '6' to each side of the equation. -6 + 6 + -13z = -7 + 6 Combine like terms: -6 + 6 = 0 0 + -13z = -7 + 6 -13z = -7 + 6 Combine like terms: -7 + 6 = -1 -13z = -1 Divide each side by '-13'. z = 0.07692307692 Simplifying z = 0.07692307692
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