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Simplifying 9a + -10 + -7a = 160 + -13 + -2a Reorder the terms: -10 + 9a + -7a = 160 + -13 + -2a Combine like terms: 9a + -7a = 2a -10 + 2a = 160 + -13 + -2a Combine like terms: 160 + -13 = 147 -10 + 2a = 147 + -2a Solving -10 + 2a = 147 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -10 + 2a + 2a = 147 + -2a + 2a Combine like terms: 2a + 2a = 4a -10 + 4a = 147 + -2a + 2a Combine like terms: -2a + 2a = 0 -10 + 4a = 147 + 0 -10 + 4a = 147 Add '10' to each side of the equation. -10 + 10 + 4a = 147 + 10 Combine like terms: -10 + 10 = 0 0 + 4a = 147 + 10 4a = 147 + 10 Combine like terms: 147 + 10 = 157 4a = 157 Divide each side by '4'. a = 39.25 Simplifying a = 39.25
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