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Simplifying 4(b + -2) + -10 = (b + 3) Reorder the terms: 4(-2 + b) + -10 = (b + 3) (-2 * 4 + b * 4) + -10 = (b + 3) (-8 + 4b) + -10 = (b + 3) Reorder the terms: -8 + -10 + 4b = (b + 3) Combine like terms: -8 + -10 = -18 -18 + 4b = (b + 3) Reorder the terms: -18 + 4b = (3 + b) Remove parenthesis around (3 + b) -18 + 4b = 3 + b Solving -18 + 4b = 3 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -18 + 4b + -1b = 3 + b + -1b Combine like terms: 4b + -1b = 3b -18 + 3b = 3 + b + -1b Combine like terms: b + -1b = 0 -18 + 3b = 3 + 0 -18 + 3b = 3 Add '18' to each side of the equation. -18 + 18 + 3b = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 3b = 3 + 18 3b = 3 + 18 Combine like terms: 3 + 18 = 21 3b = 21 Divide each side by '3'. b = 7 Simplifying b = 7
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