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Simplifying 7(2b + -3) + 2 = 5 * 15 + (b + -3) Reorder the terms: 7(-3 + 2b) + 2 = 5 * 15 + (b + -3) (-3 * 7 + 2b * 7) + 2 = 5 * 15 + (b + -3) (-21 + 14b) + 2 = 5 * 15 + (b + -3) Reorder the terms: -21 + 2 + 14b = 5 * 15 + (b + -3) Combine like terms: -21 + 2 = -19 -19 + 14b = 5 * 15 + (b + -3) Multiply 5 * 15 -19 + 14b = 75 + (b + -3) Reorder the terms: -19 + 14b = 75 + (-3 + b) Remove parenthesis around (-3 + b) -19 + 14b = 75 + -3 + b Combine like terms: 75 + -3 = 72 -19 + 14b = 72 + b Solving -19 + 14b = 72 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -19 + 14b + -1b = 72 + b + -1b Combine like terms: 14b + -1b = 13b -19 + 13b = 72 + b + -1b Combine like terms: b + -1b = 0 -19 + 13b = 72 + 0 -19 + 13b = 72 Add '19' to each side of the equation. -19 + 19 + 13b = 72 + 19 Combine like terms: -19 + 19 = 0 0 + 13b = 72 + 19 13b = 72 + 19 Combine like terms: 72 + 19 = 91 13b = 91 Divide each side by '13'. b = 7 Simplifying b = 7
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