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Simplifying 4(b + -2) + -10 = 2(b + -3) Reorder the terms: 4(-2 + b) + -10 = 2(b + -3) (-2 * 4 + b * 4) + -10 = 2(b + -3) (-8 + 4b) + -10 = 2(b + -3) Reorder the terms: -8 + -10 + 4b = 2(b + -3) Combine like terms: -8 + -10 = -18 -18 + 4b = 2(b + -3) Reorder the terms: -18 + 4b = 2(-3 + b) -18 + 4b = (-3 * 2 + b * 2) -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 = 12 2b = 12 Divide each side by '2'. b = 6 Simplifying b = 6
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