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Simplifying (15x + -2y) + -1(6x + -1b) = 0 Remove parenthesis around (15x + -2y) 15x + -2y + -1(6x + -1b) = 0 Reorder the terms: 15x + -2y + -1(-1b + 6x) = 0 15x + -2y + (-1b * -1 + 6x * -1) = 0 15x + -2y + (1b + -6x) = 0 Reorder the terms: 1b + 15x + -6x + -2y = 0 Combine like terms: 15x + -6x = 9x 1b + 9x + -2y = 0 Solving 1b + 9x + -2y = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9x' to each side of the equation. 1b + 9x + -9x + -2y = 0 + -9x Combine like terms: 9x + -9x = 0 1b + 0 + -2y = 0 + -9x 1b + -2y = 0 + -9x Remove the zero: 1b + -2y = -9x Add '2y' to each side of the equation. 1b + -2y + 2y = -9x + 2y Combine like terms: -2y + 2y = 0 1b + 0 = -9x + 2y 1b = -9x + 2y Divide each side by '1'. b = -9x + 2y Simplifying b = -9x + 2y
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