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Simplifying 2b + -5 = 4(3b + 1) + -2 Reorder the terms: -5 + 2b = 4(3b + 1) + -2 Reorder the terms: -5 + 2b = 4(1 + 3b) + -2 -5 + 2b = (1 * 4 + 3b * 4) + -2 -5 + 2b = (4 + 12b) + -2 Reorder the terms: -5 + 2b = 4 + -2 + 12b Combine like terms: 4 + -2 = 2 -5 + 2b = 2 + 12b Solving -5 + 2b = 2 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -5 + 2b + -12b = 2 + 12b + -12b Combine like terms: 2b + -12b = -10b -5 + -10b = 2 + 12b + -12b Combine like terms: 12b + -12b = 0 -5 + -10b = 2 + 0 -5 + -10b = 2 Add '5' to each side of the equation. -5 + 5 + -10b = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -10b = 2 + 5 -10b = 2 + 5 Combine like terms: 2 + 5 = 7 -10b = 7 Divide each side by '-10'. b = -0.7 Simplifying b = -0.7
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