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Simplifying -260 = -7(-5a + 7) + -1 Reorder the terms: -260 = -7(7 + -5a) + -1 -260 = (7 * -7 + -5a * -7) + -1 -260 = (-49 + 35a) + -1 Reorder the terms: -260 = -49 + -1 + 35a Combine like terms: -49 + -1 = -50 -260 = -50 + 35a Solving -260 = -50 + 35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. -260 + -35a = -50 + 35a + -35a Combine like terms: 35a + -35a = 0 -260 + -35a = -50 + 0 -260 + -35a = -50 Add '260' to each side of the equation. -260 + 260 + -35a = -50 + 260 Combine like terms: -260 + 260 = 0 0 + -35a = -50 + 260 -35a = -50 + 260 Combine like terms: -50 + 260 = 210 -35a = 210 Divide each side by '-35'. a = -6 Simplifying a = -6
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