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Simplifying -10(b + 10) + 5 = -7(1 + 3b) Reorder the terms: -10(10 + b) + 5 = -7(1 + 3b) (10 * -10 + b * -10) + 5 = -7(1 + 3b) (-100 + -10b) + 5 = -7(1 + 3b) Reorder the terms: -100 + 5 + -10b = -7(1 + 3b) Combine like terms: -100 + 5 = -95 -95 + -10b = -7(1 + 3b) -95 + -10b = (1 * -7 + 3b * -7) -95 + -10b = (-7 + -21b) Solving -95 + -10b = -7 + -21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21b' to each side of the equation. -95 + -10b + 21b = -7 + -21b + 21b Combine like terms: -10b + 21b = 11b -95 + 11b = -7 + -21b + 21b Combine like terms: -21b + 21b = 0 -95 + 11b = -7 + 0 -95 + 11b = -7 Add '95' to each side of the equation. -95 + 95 + 11b = -7 + 95 Combine like terms: -95 + 95 = 0 0 + 11b = -7 + 95 11b = -7 + 95 Combine like terms: -7 + 95 = 88 11b = 88 Divide each side by '11'. b = 8 Simplifying b = 8
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