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Simplifying 3a + -1 = 11(a + -7) Reorder the terms: -1 + 3a = 11(a + -7) Reorder the terms: -1 + 3a = 11(-7 + a) -1 + 3a = (-7 * 11 + a * 11) -1 + 3a = (-77 + 11a) Solving -1 + 3a = -77 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. -1 + 3a + -11a = -77 + 11a + -11a Combine like terms: 3a + -11a = -8a -1 + -8a = -77 + 11a + -11a Combine like terms: 11a + -11a = 0 -1 + -8a = -77 + 0 -1 + -8a = -77 Add '1' to each side of the equation. -1 + 1 + -8a = -77 + 1 Combine like terms: -1 + 1 = 0 0 + -8a = -77 + 1 -8a = -77 + 1 Combine like terms: -77 + 1 = -76 -8a = -76 Divide each side by '-8'. a = 9.5 Simplifying a = 9.5
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