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Simplifying 0.25(15z + -5) = 4(4z + 1) Reorder the terms: 0.25(-5 + 15z) = 4(4z + 1) (-5 * 0.25 + 15z * 0.25) = 4(4z + 1) (-1.25 + 3.75z) = 4(4z + 1) Reorder the terms: -1.25 + 3.75z = 4(1 + 4z) -1.25 + 3.75z = (1 * 4 + 4z * 4) -1.25 + 3.75z = (4 + 16z) Solving -1.25 + 3.75z = 4 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. -1.25 + 3.75z + -16z = 4 + 16z + -16z Combine like terms: 3.75z + -16z = -12.25z -1.25 + -12.25z = 4 + 16z + -16z Combine like terms: 16z + -16z = 0 -1.25 + -12.25z = 4 + 0 -1.25 + -12.25z = 4 Add '1.25' to each side of the equation. -1.25 + 1.25 + -12.25z = 4 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + -12.25z = 4 + 1.25 -12.25z = 4 + 1.25 Combine like terms: 4 + 1.25 = 5.25 -12.25z = 5.25 Divide each side by '-12.25'. z = -0.4285714286 Simplifying z = -0.4285714286
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