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Simplifying 15b + -10 = 6b + -1(b + 2) + (-1b + 3) Reorder the terms: -10 + 15b = 6b + -1(b + 2) + (-1b + 3) Reorder the terms: -10 + 15b = 6b + -1(2 + b) + (-1b + 3) -10 + 15b = 6b + (2 * -1 + b * -1) + (-1b + 3) -10 + 15b = 6b + (-2 + -1b) + (-1b + 3) Reorder the terms: -10 + 15b = 6b + -2 + -1b + (3 + -1b) Remove parenthesis around (3 + -1b) -10 + 15b = 6b + -2 + -1b + 3 + -1b Reorder the terms: -10 + 15b = -2 + 3 + 6b + -1b + -1b Combine like terms: -2 + 3 = 1 -10 + 15b = 1 + 6b + -1b + -1b Combine like terms: 6b + -1b = 5b -10 + 15b = 1 + 5b + -1b Combine like terms: 5b + -1b = 4b -10 + 15b = 1 + 4b Solving -10 + 15b = 1 + 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. -10 + 15b + -4b = 1 + 4b + -4b Combine like terms: 15b + -4b = 11b -10 + 11b = 1 + 4b + -4b Combine like terms: 4b + -4b = 0 -10 + 11b = 1 + 0 -10 + 11b = 1 Add '10' to each side of the equation. -10 + 10 + 11b = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 11b = 1 + 10 11b = 1 + 10 Combine like terms: 1 + 10 = 11 11b = 11 Divide each side by '11'. b = 1 Simplifying b = 1
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