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Simplifying (3x + -5y + -58) + (6x + 7b) = m Reorder the terms: (-58 + 3x + -5y) + (6x + 7b) = m Remove parenthesis around (-58 + 3x + -5y) -58 + 3x + -5y + (6x + 7b) = m Reorder the terms: -58 + 3x + -5y + (7b + 6x) = m Remove parenthesis around (7b + 6x) -58 + 3x + -5y + 7b + 6x = m Reorder the terms: -58 + 7b + 3x + 6x + -5y = m Combine like terms: 3x + 6x = 9x -58 + 7b + 9x + -5y = m Solving -58 + 7b + 9x + -5y = m Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 7b + 9x + 58 + -5y = 58 + m Reorder the terms: -58 + 58 + 7b + 9x + -5y = 58 + m Combine like terms: -58 + 58 = 0 0 + 7b + 9x + -5y = 58 + m 7b + 9x + -5y = 58 + m Add '-9x' to each side of the equation. 7b + 9x + -9x + -5y = 58 + m + -9x Combine like terms: 9x + -9x = 0 7b + 0 + -5y = 58 + m + -9x 7b + -5y = 58 + m + -9x Add '5y' to each side of the equation. 7b + -5y + 5y = 58 + m + -9x + 5y Combine like terms: -5y + 5y = 0 7b + 0 = 58 + m + -9x + 5y 7b = 58 + m + -9x + 5y Divide each side by '7'. b = 8.285714286 + 0.1428571429m + -1.285714286x + 0.7142857143y Simplifying b = 8.285714286 + 0.1428571429m + -1.285714286x + 0.7142857143y
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