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Simplifying 35 + 6z = 3x + -4(1 + -4x) 35 + 6z = 3x + (1 * -4 + -4x * -4) 35 + 6z = 3x + (-4 + 16x) Reorder the terms: 35 + 6z = -4 + 3x + 16x Combine like terms: 3x + 16x = 19x 35 + 6z = -4 + 19x Solving 35 + 6z = -4 + 19x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 6z = -4 + -35 + 19x Combine like terms: 35 + -35 = 0 0 + 6z = -4 + -35 + 19x 6z = -4 + -35 + 19x Combine like terms: -4 + -35 = -39 6z = -39 + 19x Divide each side by '6'. z = -6.5 + 3.166666667x Simplifying z = -6.5 + 3.166666667x
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