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Simplifying 2(b + -6) = 4(3b + -7) Reorder the terms: 2(-6 + b) = 4(3b + -7) (-6 * 2 + b * 2) = 4(3b + -7) (-12 + 2b) = 4(3b + -7) Reorder the terms: -12 + 2b = 4(-7 + 3b) -12 + 2b = (-7 * 4 + 3b * 4) -12 + 2b = (-28 + 12b) Solving -12 + 2b = -28 + 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. -12 + 2b + -12b = -28 + 12b + -12b Combine like terms: 2b + -12b = -10b -12 + -10b = -28 + 12b + -12b Combine like terms: 12b + -12b = 0 -12 + -10b = -28 + 0 -12 + -10b = -28 Add '12' to each side of the equation. -12 + 12 + -10b = -28 + 12 Combine like terms: -12 + 12 = 0 0 + -10b = -28 + 12 -10b = -28 + 12 Combine like terms: -28 + 12 = -16 -10b = -16 Divide each side by '-10'. b = 1.6 Simplifying b = 1.6
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