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Simplifying -8(W + 7) + -1(3 + 4W) = -13W Reorder the terms: -8(7 + W) + -1(3 + 4W) = -13W (7 * -8 + W * -8) + -1(3 + 4W) = -13W (-56 + -8W) + -1(3 + 4W) = -13W -56 + -8W + (3 * -1 + 4W * -1) = -13W -56 + -8W + (-3 + -4W) = -13W Reorder the terms: -56 + -3 + -8W + -4W = -13W Combine like terms: -56 + -3 = -59 -59 + -8W + -4W = -13W Combine like terms: -8W + -4W = -12W -59 + -12W = -13W Solving -59 + -12W = -13W Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '13W' to each side of the equation. -59 + -12W + 13W = -13W + 13W Combine like terms: -12W + 13W = 1W -59 + 1W = -13W + 13W Combine like terms: -13W + 13W = 0 -59 + 1W = 0 Add '59' to each side of the equation. -59 + 59 + 1W = 0 + 59 Combine like terms: -59 + 59 = 0 0 + 1W = 0 + 59 1W = 0 + 59 Combine like terms: 0 + 59 = 59 1W = 59 Divide each side by '1'. W = 59 Simplifying W = 59
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