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Simplifying 4 + -1(x + -3) + 2(3w + -5) = 6 Reorder the terms: 4 + -1(-3 + x) + 2(3w + -5) = 6 4 + (-3 * -1 + x * -1) + 2(3w + -5) = 6 4 + (3 + -1x) + 2(3w + -5) = 6 Reorder the terms: 4 + 3 + -1x + 2(-5 + 3w) = 6 4 + 3 + -1x + (-5 * 2 + 3w * 2) = 6 4 + 3 + -1x + (-10 + 6w) = 6 Reorder the terms: 4 + 3 + -10 + 6w + -1x = 6 Combine like terms: 4 + 3 = 7 7 + -10 + 6w + -1x = 6 Combine like terms: 7 + -10 = -3 -3 + 6w + -1x = 6 Solving -3 + 6w + -1x = 6 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 6w + 3 + -1x = 6 + 3 Reorder the terms: -3 + 3 + 6w + -1x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 6w + -1x = 6 + 3 6w + -1x = 6 + 3 Combine like terms: 6 + 3 = 9 6w + -1x = 9 Add 'x' to each side of the equation. 6w + -1x + x = 9 + x Combine like terms: -1x + x = 0 6w + 0 = 9 + x 6w = 9 + x Divide each side by '6'. w = 1.5 + 0.1666666667x Simplifying w = 1.5 + 0.1666666667x
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