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Simplifying 116 = 4(1 + 7b) 116 = (1 * 4 + 7b * 4) 116 = (4 + 28b) Solving 116 = 4 + 28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-28b' to each side of the equation. 116 + -28b = 4 + 28b + -28b Combine like terms: 28b + -28b = 0 116 + -28b = 4 + 0 116 + -28b = 4 Add '-116' to each side of the equation. 116 + -116 + -28b = 4 + -116 Combine like terms: 116 + -116 = 0 0 + -28b = 4 + -116 -28b = 4 + -116 Combine like terms: 4 + -116 = -112 -28b = -112 Divide each side by '-28'. b = 4 Simplifying b = 4
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