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Simplifying -15 = 0.71(4z + -1) Reorder the terms: -15 = 0.71(-1 + 4z) -15 = (-1 * 0.71 + 4z * 0.71) -15 = (-0.71 + 2.84z) Solving -15 = -0.71 + 2.84z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.84z' to each side of the equation. -15 + -2.84z = -0.71 + 2.84z + -2.84z Combine like terms: 2.84z + -2.84z = 0.00 -15 + -2.84z = -0.71 + 0.00 -15 + -2.84z = -0.71 Add '15' to each side of the equation. -15 + 15 + -2.84z = -0.71 + 15 Combine like terms: -15 + 15 = 0 0 + -2.84z = -0.71 + 15 -2.84z = -0.71 + 15 Combine like terms: -0.71 + 15 = 14.29 -2.84z = 14.29 Divide each side by '-2.84'. z = -5.031690141 Simplifying z = -5.031690141
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