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Simplifying 0.75(w + 2) = 4(1.5w + -0.16) Reorder the terms: 0.75(2 + w) = 4(1.5w + -0.16) (2 * 0.75 + w * 0.75) = 4(1.5w + -0.16) (1.5 + 0.75w) = 4(1.5w + -0.16) Reorder the terms: 1.5 + 0.75w = 4(-0.16 + 1.5w) 1.5 + 0.75w = (-0.16 * 4 + 1.5w * 4) 1.5 + 0.75w = (-0.64 + 6w) Solving 1.5 + 0.75w = -0.64 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 1.5 + 0.75w + -6w = -0.64 + 6w + -6w Combine like terms: 0.75w + -6w = -5.25w 1.5 + -5.25w = -0.64 + 6w + -6w Combine like terms: 6w + -6w = 0 1.5 + -5.25w = -0.64 + 0 1.5 + -5.25w = -0.64 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -5.25w = -0.64 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -5.25w = -0.64 + -1.5 -5.25w = -0.64 + -1.5 Combine like terms: -0.64 + -1.5 = -2.14 -5.25w = -2.14 Divide each side by '-5.25'. w = 0.4076190476 Simplifying w = 0.4076190476
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