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Simplifying 2(a + -5) + 1 = 6a + -1 Reorder the terms: 2(-5 + a) + 1 = 6a + -1 (-5 * 2 + a * 2) + 1 = 6a + -1 (-10 + 2a) + 1 = 6a + -1 Reorder the terms: -10 + 1 + 2a = 6a + -1 Combine like terms: -10 + 1 = -9 -9 + 2a = 6a + -1 Reorder the terms: -9 + 2a = -1 + 6a Solving -9 + 2a = -1 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -9 + 2a + -6a = -1 + 6a + -6a Combine like terms: 2a + -6a = -4a -9 + -4a = -1 + 6a + -6a Combine like terms: 6a + -6a = 0 -9 + -4a = -1 + 0 -9 + -4a = -1 Add '9' to each side of the equation. -9 + 9 + -4a = -1 + 9 Combine like terms: -9 + 9 = 0 0 + -4a = -1 + 9 -4a = -1 + 9 Combine like terms: -1 + 9 = 8 -4a = 8 Divide each side by '-4'. a = -2 Simplifying a = -2
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