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Simplifying -4b + -18 = 7(-1b + -6) Reorder the terms: -18 + -4b = 7(-1b + -6) Reorder the terms: -18 + -4b = 7(-6 + -1b) -18 + -4b = (-6 * 7 + -1b * 7) -18 + -4b = (-42 + -7b) Solving -18 + -4b = -42 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -18 + -4b + 7b = -42 + -7b + 7b Combine like terms: -4b + 7b = 3b -18 + 3b = -42 + -7b + 7b Combine like terms: -7b + 7b = 0 -18 + 3b = -42 + 0 -18 + 3b = -42 Add '18' to each side of the equation. -18 + 18 + 3b = -42 + 18 Combine like terms: -18 + 18 = 0 0 + 3b = -42 + 18 3b = -42 + 18 Combine like terms: -42 + 18 = -24 3b = -24 Divide each side by '3'. b = -8 Simplifying b = -8
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