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Simplifying 6a + -3b + 1a + -13b = 7a + -10b Reorder the terms: 6a + 1a + -3b + -13b = 7a + -10b Combine like terms: 6a + 1a = 7a 7a + -3b + -13b = 7a + -10b Combine like terms: -3b + -13b = -16b 7a + -16b = 7a + -10b Add '-7a' to each side of the equation. 7a + -7a + -16b = 7a + -7a + -10b Combine like terms: 7a + -7a = 0 0 + -16b = 7a + -7a + -10b -16b = 7a + -7a + -10b Combine like terms: 7a + -7a = 0 -16b = 0 + -10b -16b = -10b Solving -16b = -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. -16b + 10b = -10b + 10b Combine like terms: -16b + 10b = -6b -6b = -10b + 10b Combine like terms: -10b + 10b = 0 -6b = 0 Divide each side by '-6'. b = 0 Simplifying b = 0
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