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Simplifying 4(b + -2) + -10 = 2b + 6 Reorder the terms: 4(-2 + b) + -10 = 2b + 6 (-2 * 4 + b * 4) + -10 = 2b + 6 (-8 + 4b) + -10 = 2b + 6 Reorder the terms: -8 + -10 + 4b = 2b + 6 Combine like terms: -8 + -10 = -18 -18 + 4b = 2b + 6 Reorder the terms: -18 + 4b = 6 + 2b Solving -18 + 4b = 6 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -18 + 4b + -2b = 6 + 2b + -2b Combine like terms: 4b + -2b = 2b -18 + 2b = 6 + 2b + -2b Combine like terms: 2b + -2b = 0 -18 + 2b = 6 + 0 -18 + 2b = 6 Add '18' to each side of the equation. -18 + 18 + 2b = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 2b = 6 + 18 2b = 6 + 18 Combine like terms: 6 + 18 = 24 2b = 24 Divide each side by '2'. b = 12 Simplifying b = 12
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