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Simplifying -1160 = 10(-6 + 11a) -1160 = (-6 * 10 + 11a * 10) -1160 = (-60 + 110a) Solving -1160 = -60 + 110a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-110a' to each side of the equation. -1160 + -110a = -60 + 110a + -110a Combine like terms: 110a + -110a = 0 -1160 + -110a = -60 + 0 -1160 + -110a = -60 Add '1160' to each side of the equation. -1160 + 1160 + -110a = -60 + 1160 Combine like terms: -1160 + 1160 = 0 0 + -110a = -60 + 1160 -110a = -60 + 1160 Combine like terms: -60 + 1160 = 1100 -110a = 1100 Divide each side by '-110'. a = -10 Simplifying a = -10
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