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Simplifying 3(b + -2) + -1 = 4(b + -3) Reorder the terms: 3(-2 + b) + -1 = 4(b + -3) (-2 * 3 + b * 3) + -1 = 4(b + -3) (-6 + 3b) + -1 = 4(b + -3) Reorder the terms: -6 + -1 + 3b = 4(b + -3) Combine like terms: -6 + -1 = -7 -7 + 3b = 4(b + -3) Reorder the terms: -7 + 3b = 4(-3 + b) -7 + 3b = (-3 * 4 + b * 4) -7 + 3b = (-12 + 4b) Solving -7 + 3b = -12 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -7 + 3b + -4b = -12 + 4b + -4b Combine like terms: 3b + -4b = -1b -7 + -1b = -12 + 4b + -4b Combine like terms: 4b + -4b = 0 -7 + -1b = -12 + 0 -7 + -1b = -12 Add '7' to each side of the equation. -7 + 7 + -1b = -12 + 7 Combine like terms: -7 + 7 = 0 0 + -1b = -12 + 7 -1b = -12 + 7 Combine like terms: -12 + 7 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5
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