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Simplifying 5(8w) + -7w + -10(4w) = -15 + -21 + -15 Remove parenthesis around (8w) 5 * 8w + -7w + -10(4w) = -15 + -21 + -15 Multiply 5 * 8 40w + -7w + -10(4w) = -15 + -21 + -15 Remove parenthesis around (4w) 40w + -7w + -10 * 4w = -15 + -21 + -15 Multiply -10 * 4 40w + -7w + -40w = -15 + -21 + -15 Combine like terms: 40w + -7w = 33w 33w + -40w = -15 + -21 + -15 Combine like terms: 33w + -40w = -7w -7w = -15 + -21 + -15 Combine like terms: -15 + -21 = -36 -7w = -36 + -15 Combine like terms: -36 + -15 = -51 -7w = -51 Solving -7w = -51 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Divide each side by '-7'. w = 7.285714286 Simplifying w = 7.285714286
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