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Simplifying 3(5 + -12b) = 79 + -4b (5 * 3 + -12b * 3) = 79 + -4b (15 + -36b) = 79 + -4b Solving 15 + -36b = 79 + -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. 15 + -36b + 4b = 79 + -4b + 4b Combine like terms: -36b + 4b = -32b 15 + -32b = 79 + -4b + 4b Combine like terms: -4b + 4b = 0 15 + -32b = 79 + 0 15 + -32b = 79 Add '-15' to each side of the equation. 15 + -15 + -32b = 79 + -15 Combine like terms: 15 + -15 = 0 0 + -32b = 79 + -15 -32b = 79 + -15 Combine like terms: 79 + -15 = 64 -32b = 64 Divide each side by '-32'. b = -2 Simplifying b = -2
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