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Simplifying 4 * 2a + -1 = 10a + -5 Multiply 4 * 2 8a + -1 = 10a + -5 Reorder the terms: -1 + 8a = 10a + -5 Reorder the terms: -1 + 8a = -5 + 10a Solving -1 + 8a = -5 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -1 + 8a + -10a = -5 + 10a + -10a Combine like terms: 8a + -10a = -2a -1 + -2a = -5 + 10a + -10a Combine like terms: 10a + -10a = 0 -1 + -2a = -5 + 0 -1 + -2a = -5 Add '1' to each side of the equation. -1 + 1 + -2a = -5 + 1 Combine like terms: -1 + 1 = 0 0 + -2a = -5 + 1 -2a = -5 + 1 Combine like terms: -5 + 1 = -4 -2a = -4 Divide each side by '-2'. a = 2 Simplifying a = 2
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