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Simplifying 5(x + -15) + 6 = 5x + -1a Reorder the terms: 5(-15 + x) + 6 = 5x + -1a (-15 * 5 + x * 5) + 6 = 5x + -1a (-75 + 5x) + 6 = 5x + -1a Reorder the terms: -75 + 6 + 5x = 5x + -1a Combine like terms: -75 + 6 = -69 -69 + 5x = 5x + -1a Reorder the terms: -69 + 5x = -1a + 5x Add '-5x' to each side of the equation. -69 + 5x + -5x = -1a + 5x + -5x Combine like terms: 5x + -5x = 0 -69 + 0 = -1a + 5x + -5x -69 = -1a + 5x + -5x Combine like terms: 5x + -5x = 0 -69 = -1a + 0 -69 = -1a Solving -69 = -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -69 + a = -1a + a Combine like terms: -1a + a = 0 -69 + a = 0 Add '69' to each side of the equation. -69 + 69 + a = 0 + 69 Combine like terms: -69 + 69 = 0 0 + a = 0 + 69 a = 0 + 69 Combine like terms: 0 + 69 = 69 a = 69 Simplifying a = 69
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