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Simplifying 2(b + -3) + -4 = 3(b + -7) Reorder the terms: 2(-3 + b) + -4 = 3(b + -7) (-3 * 2 + b * 2) + -4 = 3(b + -7) (-6 + 2b) + -4 = 3(b + -7) Reorder the terms: -6 + -4 + 2b = 3(b + -7) Combine like terms: -6 + -4 = -10 -10 + 2b = 3(b + -7) Reorder the terms: -10 + 2b = 3(-7 + b) -10 + 2b = (-7 * 3 + b * 3) -10 + 2b = (-21 + 3b) Solving -10 + 2b = -21 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -10 + 2b + -3b = -21 + 3b + -3b Combine like terms: 2b + -3b = -1b -10 + -1b = -21 + 3b + -3b Combine like terms: 3b + -3b = 0 -10 + -1b = -21 + 0 -10 + -1b = -21 Add '10' to each side of the equation. -10 + 10 + -1b = -21 + 10 Combine like terms: -10 + 10 = 0 0 + -1b = -21 + 10 -1b = -21 + 10 Combine like terms: -21 + 10 = -11 -1b = -11 Divide each side by '-1'. b = 11 Simplifying b = 11
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