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Simplifying 2a + -10 + 3a = 7a + -22 Reorder the terms: -10 + 2a + 3a = 7a + -22 Combine like terms: 2a + 3a = 5a -10 + 5a = 7a + -22 Reorder the terms: -10 + 5a = -22 + 7a Solving -10 + 5a = -22 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -10 + 5a + -7a = -22 + 7a + -7a Combine like terms: 5a + -7a = -2a -10 + -2a = -22 + 7a + -7a Combine like terms: 7a + -7a = 0 -10 + -2a = -22 + 0 -10 + -2a = -22 Add '10' to each side of the equation. -10 + 10 + -2a = -22 + 10 Combine like terms: -10 + 10 = 0 0 + -2a = -22 + 10 -2a = -22 + 10 Combine like terms: -22 + 10 = -12 -2a = -12 Divide each side by '-2'. a = 6 Simplifying a = 6
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