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Simplifying 0.2(15z + -5) = 4(4z + 1) Reorder the terms: 0.2(-5 + 15z) = 4(4z + 1) (-5 * 0.2 + 15z * 0.2) = 4(4z + 1) (-1 + 3z) = 4(4z + 1) Reorder the terms: -1 + 3z = 4(1 + 4z) -1 + 3z = (1 * 4 + 4z * 4) -1 + 3z = (4 + 16z) Solving -1 + 3z = 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 + 3z + -16z = 4 + 16z + -16z Combine like terms: 3z + -16z = -13z -1 + -13z = 4 + 16z + -16z Combine like terms: 16z + -16z = 0 -1 + -13z = 4 + 0 -1 + -13z = 4 Add '1' to each side of the equation. -1 + 1 + -13z = 4 + 1 Combine like terms: -1 + 1 = 0 0 + -13z = 4 + 1 -13z = 4 + 1 Combine like terms: 4 + 1 = 5 -13z = 5 Divide each side by '-13'. z = -0.3846153846 Simplifying z = -0.3846153846
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