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Simplifying g(p + 3) = 2(p + 3)[2] + 5(p + 3) + 1 Reorder the terms: g(3 + p) = 2(p + 3)[2] + 5(p + 3) + 1 (3 * g + p * g) = 2(p + 3)[2] + 5(p + 3) + 1 (3g + gp) = 2(p + 3)[2] + 5(p + 3) + 1 Reorder the terms: 3g + gp = 2(3 + p)[2] + 5(p + 3) + 1 Reorder the terms for easier multiplication: 3g + gp = 2 * 2(3 + p) + 5(p + 3) + 1 Multiply 2 * 2 3g + gp = 4(3 + p) + 5(p + 3) + 1 3g + gp = (3 * 4 + p * 4) + 5(p + 3) + 1 3g + gp = (12 + 4p) + 5(p + 3) + 1 Reorder the terms: 3g + gp = 12 + 4p + 5(3 + p) + 1 3g + gp = 12 + 4p + (3 * 5 + p * 5) + 1 3g + gp = 12 + 4p + (15 + 5p) + 1 Reorder the terms: 3g + gp = 12 + 15 + 1 + 4p + 5p Combine like terms: 12 + 15 = 27 3g + gp = 27 + 1 + 4p + 5p Combine like terms: 27 + 1 = 28 3g + gp = 28 + 4p + 5p Combine like terms: 4p + 5p = 9p 3g + gp = 28 + 9p Solving 3g + gp = 28 + 9p Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -28 + 3g + gp + -9p = 28 + 9p + -28 + -9p Reorder the terms: -28 + 3g + gp + -9p = 28 + -28 + 9p + -9p Combine like terms: 28 + -28 = 0 -28 + 3g + gp + -9p = 0 + 9p + -9p -28 + 3g + gp + -9p = 9p + -9p Combine like terms: 9p + -9p = 0 -28 + 3g + gp + -9p = 0 The solution to this equation could not be determined.
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