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Simplifying -3(-1 + s + -1t) + -3(1.8 + 1.2t) + -4t = -16 (-1 * -3 + s * -3 + -1t * -3) + -3(1.8 + 1.2t) + -4t = -16 (3 + -3s + 3t) + -3(1.8 + 1.2t) + -4t = -16 3 + -3s + 3t + (1.8 * -3 + 1.2t * -3) + -4t = -16 3 + -3s + 3t + (-5.4 + -3.6t) + -4t = -16 Reorder the terms: 3 + -5.4 + -3s + 3t + -3.6t + -4t = -16 Combine like terms: 3 + -5.4 = -2.4 -2.4 + -3s + 3t + -3.6t + -4t = -16 Combine like terms: 3t + -3.6t = -0.6t -2.4 + -3s + -0.6t + -4t = -16 Combine like terms: -0.6t + -4t = -4.6t -2.4 + -3s + -4.6t = -16 Solving -2.4 + -3s + -4.6t = -16 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '2.4' to each side of the equation. -2.4 + -3s + 2.4 + -4.6t = -16 + 2.4 Reorder the terms: -2.4 + 2.4 + -3s + -4.6t = -16 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -3s + -4.6t = -16 + 2.4 -3s + -4.6t = -16 + 2.4 Combine like terms: -16 + 2.4 = -13.6 -3s + -4.6t = -13.6 Add '4.6t' to each side of the equation. -3s + -4.6t + 4.6t = -13.6 + 4.6t Combine like terms: -4.6t + 4.6t = 0.0 -3s + 0.0 = -13.6 + 4.6t -3s = -13.6 + 4.6t Divide each side by '-3'. s = 4.533333333 + -1.533333333t Simplifying s = 4.533333333 + -1.533333333t
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